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2080917630 = 2325115234019
BaseRepresentation
bin111110000001000…
…0100100001111110
312101000121120100100
41330002010201332
513230203331010
6542253141530
7102365336151
oct17402044176
95330546310
102080917630
11978695240
124a0a8a8a6
1327216930c
1415a51dc98
15c2a482c0
hex7c08487e

2080917630 has 96 divisors (see below), whose sum is σ = 5914995840. Its totient is φ = 503375040.

The previous prime is 2080917613. The next prime is 2080917637. The reversal of 2080917630 is 367190802.

2080917630 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 9 + 17 + 630 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2080917637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515761 + ... + 519779.

It is an arithmetic number, because the mean of its divisors is an integer number (61614540).

Almost surely, 22080917630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2080917630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957497920).

2080917630 is an abundant number, since it is smaller than the sum of its proper divisors (3834078210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2080917630 is a wasteful number, since it uses less digits than its factorization.

2080917630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2080917630 is about 45617.0760790299. The cubic root of 2080917630 is about 1276.6885493988.

The spelling of 2080917630 in words is "two billion, eighty million, nine hundred seventeen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 523 990 1046 1569 2615 3138 4019 4707 5230 5753 7845 8038 9414 11506 12057 15690 17259 20095 23535 24114 28765 34518 36171 40190 44209 47070 51777 57530 60285 72342 86295 88418 103554 120570 132627 172590 180855 221045 258885 265254 361710 397881 442090 517770 663135 795762 1326270 1989405 2101937 3978810 4203874 6305811 10509685 12611622 18917433 21019370 23121307 31529055 37834866 46242614 63058110 69363921 94587165 115606535 138727842 189174330 208091763 231213070 346819605 416183526 693639210 1040458815 2080917630